The equation y=1/9x represents the distance y, kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate?

The Equation Y=1/9x Represents The Distance Y, Kilometers, That Patrick Traveled In X Minutes While Training

Answers

Answer 1

Answer:

Jennifer has the faster training rate.

Step-by-step explanation:

In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:

Choose two ordered pairs from the table: (5, 40) and (64, 8).

Let (x1, y1) = (40, 5)

(x2, y2) = (64, 8)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (8 - 5)/(64 -40)

m = 3/24 = 1/8

Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.

In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:

Let x = 40:

Patrick:

y = 1/9x

y = 1/9(40)

y = 4.44 km  ⇒ This represents the distance that Patrick traveled in 40 minutes.

In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.

Therefore, Jennifer has the faster training rate.


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Answer:

7/16

Step-by-step explanation:

please give brainliest

zoe is buying treats for her dog. Her total bill is $20.25. if each treat cost 0.75 how much treats did she buy?

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Answer:

She bought 27 treats.

Step-by-step explanation:

20.25 ÷ 0.75 = 27

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The answer that you are looking for is b

There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble

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Answer:

You would have a 80% chance.

Step-by-step explanation:

16 out of 20 is equal to 80%. ( I can't really explain how I got 80% -_-. ) Let me know if I'm wrong.

What is the value of x?

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give us a problem or somen

Step-by-step explanation:

Answer:

x=4, i did the other one on ur acc, sad to see these points go to waste.

Step-by-step explanation:

May I please receive help?

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They are perpendicular

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 58 cm² (c) 60 cm² (d) 64 cm²​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]

What is the missing side length of this right triangle? Type the answer in the box.
13 in.
5 in.
х
1

Answers

Answer:

13in

Step-by-step explanation:

remember it's the same angle width.

Please help! See algebra question..

Answers

Answer:

n=-10

Step-by-step explanation:

n+3=-7

n=-7-3

n=-10

this helps thank you

branlist please

Answer:

n = -10

Step-by-step explanation:

solving a one step equation with a missing variable

step 1: subtract 3 from both sides of the equation then simplify

ex: n + 3 - 3 = -7 - 3   (n = -10)

step 2: take your answer of n which is -10 and add plug it in into your original equation n + 3 = -7 and solve to check your answer

ex: n + 3 = -7   (-10 + 3 = -7)

add

-10 + 3 = -7

-7 = -7   (if both sides of the equation are the same numbers like -7 = -7 then your answer is true making n = -10 your answer) i would love to get brain if this is correct and helps <(^w^)>

help pls, i will link question with 50 points

Answers

1. Y = 4x-7

2. y = -5/4+ 5

3. Y = -2x + 5

4. Y = 6

5. Y = -2/7x+0

6. Y = -1/2x + 15/2

Mike went to the store and saw a tv for $124.79. He had a coupon for 25% off. After the discount, how much did Mike pay for the tv?

Answers

93.59 after the discount

A manufacturing company makes two types of water​ skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. ​Labor-Hours per 8 and 6 Ski Maximum​ Labor-Hours Department is 336 and 48 Trick Ski Slalom Ski Available per Day Fabricating Finishing 1 1 If the profit on a trick ski is ​$40 and the profit on a slalom ski is ​$​60, how many of each type of ski should be manufactured each day to realize a maximum​ profit? What is the maximum​ profit? The maximum profit is ​$ nothing. The maximum occurs when nothing trick skis and nothing slalom skis are produced.

Answers

Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.

Step-by-step explanation:

The optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

Given data:

To solve this problem, we can use linear programming techniques to find the optimal number of trick skis and slalom skis that should be manufactured each day to maximize the profit.

x = number of trick skis

y = number of slalom skis

We need to maximize the profit function: P = 40x + 60y

Subject to the following constraints:

1x + 1y ≤ 336 (Fabricating department constraint)

1x + 1y ≤ 48 (Finishing department constraint)

x, y ≥ 0 (Non-negativity constraint)

We can graphically represent these constraints on a coordinate plane and find the feasible region, which is the region where all constraints are satisfied. Then, we can evaluate the profit function at the corner points of the feasible region to find the maximum profit.

After solving this system of linear inequalities, we find that the feasible region is a triangle with vertices at (0, 48), (0, 48), and (48, 48).

Evaluating the profit function at these vertices:

P(0, 48) = 40(0) + 60(48)

= $2880

P(0, 0) = 40(0) + 60(0)

= $0

P(48, 0) = 40(48) + 60(0)

= $1920

The maximum profit is $2880, which occurs when they produce 48 slalom skis and 0 trick skis.

Hence, the optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

To learn more about linear programming, refer:

https://brainly.com/question/28579054

#SPJ3

PLS HELP ASAP WILL MARK BRAINLEIST

Answers

Answer:

a^8

I hope this is the correct answer

have a great day

Answer:

Step-by-step explanation:

(a².a³.(a-¹)²)

a²+³.a-¹×2

a⁵.a-²

a⁵+(-²)

a⁵-²

Plz help will give Brainliest

Answers

[tex] = 2ac \: + ab \: + 3a \: - 2bc[/tex]

see the attachment!!

hope it helps

Someone plz help me :(

Answers

D.

I am so sorry if it is wrong

Find m Give explanation please

Answers

Answer: The measurement of ∠EFG is equal to 70°.

Step-by-step explanation:

Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:

(6x - 10) + 38 = 7x + 18

In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.

(6x - 10) + 38 = 7x + 18

6x + 28 = 7x + 18

We then substract 18 on both sides.

6x + 10 = 7x

We finally substract 6x from both sides in order to have the value of x.

x = 10

Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.

m∠EFG = 6x + 10

m∠EFG = 6(10) + 10

m∠EFG = 60 + 10

m∠EFG = 70

Answer:

50°

Step-by-step explanation:

( 7x + 18 )° = ( 6x - 10 )° + 38°

7x + 18 = 6x - 10 + 38

7x - 6x = 28 - 18

x = 10

m∠EFG = 6(10) - 10

m∠EFG = 50°

Callie had $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?

Answers

Answer:

Step-by-step explanation:

cost of 6 potatoes=24.65-18.95=5.70 $

cost of 1 potato=5.70÷9=0.95 $

Choose the ordered pair for point L.

Please help!! If you can, thanks so much :))

Answers

Answer:

The answer to the question is (2,-3).

I need help on this question

Answers

1. >
2.<
3.>
Hope this helps

Answer:

1 is equal

2 is greater

3 is greater

Step-by-step explanation:

2^3 x 2^5 is 32, and 2^5 is 32, meaning these are equal.

2^2 x 3^2 is 36, and 6^3 is 216, meaning 6^3 is greater.

2^3 x 3^2 is 72, and 6^2 is 36, meaning that 2^3 x 3^2 is greater.

(4) The volume of a cuboid shaped tank is 3600 cm?. Its height, breadth and length are three consecutive perfect squares. Find its length, breadth and height. (Write 3600 as a product of prime factors).​

Answers

Answer:

15×15×16=3600

15×15=225

225×16=3600

can someone please help me with this

Answers

Answer:

Add 8 and 8 and then add 5and 5 and get answer 16

Step-by-step explanation:


If l||m, find the value of y

Answers

Answer:

Step-by-step explanation:

6x + 7 + 3x - 16 = 180    {Supplementary}

6x  + 3x + 7 - 16 = 180

9x   - 9 = 180

      9x = 180+ 9

      9x = 189

         x = 189/9

x = 21

6x + 7 = 6*21 + 7 = 126 + 7 = 133

11y - 32 = 6x + 7    {Vertically opposite angles}

11y - 32 = 133

      11y = 133 + 32

      11y = 165

y = 165/11

y= 15

The linear distance around the border of a 2-dimensional shape is:

Question 12 options:

A) perimeter
B) area
C) volume
D) surface area

Answers

Answer:

A) Perimeter

Step-by-step explanation:

Answer:

A perimeter is the answer

answer the equation please <33

Answers

Answer: Total cost = 4m

Step-by-step explanation:

Each meal is $4, so the total would be the number of meals times $4/meal: Total = 4m

Answer:

dₙ = (m-1)*4

Step-by-step explanation:

d1: initial dollar   d1=0

dₙ = (m-1)*4

d₁ = (1-1)*4 = 0

d₂ = (2-1)*4 = 4

d₃ = (3-1)*4 = 8

Help me with the question in the image it’s geometry

Answers

Answer:

<BAC=100°

Step-by-step explanation:

<ACB = <DCE - vertical angles are congruent

<ACB = 45° - substitute <DCE = 45° <ACB = <DCE

<ABC + <ACB + <BAC = 180° - angle sum theorem

35° + 45° + <BAC = 180° - substitute <ABC = 35°, <ACB = 45° INTO <ABC + <ACB + <BAC = 180 °

35°+ 45° + <BAC = 180°

180° - 80° = 100

×/2=y/3; y/4=z/4 và x+2y-z=10

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Can you make it clear?

If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?

Answers

Answer:

Step-by-step explanation:

∠8 = ∠6

∠8 = 7x - 36

∠8 +∠9 = 180   {Linear pair}

7x - 36 + 5x + 12 = 180

7x + 5x - 36 + 12 = 180

   12x  - 24 = 180

            12x = 180 + 24

           12x   = 204

               x = 204/12

x = 17

∠6 = 7x - 36  = 7*17 - 36 = 119 - 36 = 83

∠11 = ∠6    {Vertically opposite angles}

∠11 = 83

One number is 13 more than another number. Their sum is 27. Find the two numbers.
Enter your answer as a list of numbers separated by a comma: a,b

Answers

Add 14 and 13+14=27...ans

Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.

what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!​

Answers

Answer:

you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books

The perimeter of a rectangular field is 358 m.
If the length of the field is 96 m, what is its width?

Answers

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

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